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Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks

Author

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  • Zeng, Pengyu
  • Deng, Feiqi
  • Gao, Xiaobin
  • Liu, Xiaohua

Abstract

In this paper, the sampled-data resilient H∞ control problem is concerned for networked stochastic systems with multiple attacks. Multiple attacks consisting of denial-of-service (DoS) attacks and random deception attacks are first described. Then on the basis of these attacks, a new switched stochastic time-delay closed-loop system is proposed under sampled-data and full state feedback controller. By utilizing piecewise Lyapunov-Krasovskii functional analysis theory, some new criterions are derived to guarantee the mean-square asymptotical stability with an H∞ performance of the resulting closed-loop system. The explicit expression of controller gain is subsequently presented. Finally, two examples are given to show the feasibility of the developed control approach.

Suggested Citation

  • Zeng, Pengyu & Deng, Feiqi & Gao, Xiaobin & Liu, Xiaohua, 2021. "Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    • Handle: RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003544
    DOI: 10.1016/j.amc.2021.126265
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    References listed on IDEAS

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    1. Yang, Te & Chen, Guoliang & Xia, Jianwei & Wang, Zhen & Sun, Qun, 2019. "Robust H∞ filtering for polytopic uncertain stochastic systems under quantized sampled outputs," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 688-701.
    2. Liu, Jinliang & Xia, Jilei & Tian, Engang & Fei, Shumin, 2018. "Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 158-174.
    3. Wang, Yingchun & Zheng, Yu & Xie, Xiangpeng & Yang, Jun, 2020. "An improved reduction method based networked control against false data injection attacks and stochastic input delay," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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    Cited by:

    1. Liu, Mengmeng & Yu, Jinyong & Liu, Yu, 2022. "Dynamic event-triggered asynchronous fault detection for Markov jump systems with partially accessible hidden information and subject to aperiodic DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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